Завдання 2

Показати, що вектори утворюють базис простору , і знайти координати вектора у цьому базисі (при розв'язанні системи застосувати метод Жордана – Гаусса).

2.1 =(2,3,-2,3), =(1,-1,1,1), =(4,0,4,2), =(3,2,1,-5),
=(9,4,5,6).

2.2 =(4,5,6,3), =(2,1,2,-1), =(3,2,4,2), =(1,2,1,2),
=(1,3,0,1).

2.3 =(2,1,3,2), =(5,4,0,-1), =(3,2,4,3), =(1,-1,1,5),
=(6,5,9,2).

2.4 =(5,4,6,-1), =(2,3,1,2), =(6,-4,-3,4), =(1,0,2,4),
=(0,2,-2,9).

2.5 =(1,-2,3,4), =(2,4,2,-3), =(3,3,-1,2), =(5,-4,6,1),
=(7,12,-3,-3).

2.6 =(-2,1,4,5), =(2,5,3,5), =(4,2,2,0), =(3,6,2,1),
=(4,0,5,0).

2.7 =(3,4,2,3), =(2,0,4,2), =(-1,1,4,-1), =(4,-2,1,3),
=(11,-5,2,9).

2.8 =(3,2,-1,1), =(1,4,3,4), =(4,0,2,1), =(4,1,2,3),
=(6,3,-2,0).

2.9 =(1,2,3,-1), =(2,1,1,2), =(3,4,3,2), =(4,0,2,1),
=(7,0,1,6).

2.10 =(3,-1,2,2), =(1,2,4,3), =(2,3,-2,1), =(4,5,3,3),
=(2,9,-2,3).

2.11 =(2,-1,2,3), =(2,4,-2,1), =(3,0,1,2), =(6,3,5,3),
=(6,-5,6,6).

2.12 =(4,5,1,4), =(1,3,2,2), =(2,2,3,3), =(2,2,2,1),
=(3,5,3,1).

2.13 =(3,1,3,1), =(4,5,6,4), =(2,4,4,2), =(2,3,5,1),
=(6,3,5,3).

2.14 =(3,5,4,3), =(1,2,-1,2), =(4,6,2,3), =(1,4,6,0),
=(0,3,0,1).

2.15 =(4,3,4,2), =(2,3,5,-1), =(2,1,1,0), =(5,3,5,1),
=(2,2,3,-3).

2.16 =(-2,3,2,1), =(2,4,1,4), =(1,1,-2,2), =(4,5,2,3),
=(-2,1,-3,1).

2.17 =(6,-3,-4,3), =(4,2,2,2), =(4,3,2,3), =(1,2,1,0),
=(2,3,2,-1).

2.18 =(2,4,3,2), =(3,5,6,4), =(2,1,3,0), =(3,4,5,2),
=(3,5,4,2).

2.19 =(4,3,4,6), =(1,2,1,3), =(4,5,4,1), =(2,3,-1,0),
=(0,4,-3,0).

2.20 =(5,4,2,3), =(4,-1,-2,4), =(1,4,2,-1), =(4,3,2,4),
=(1,3,0,-1).

2.21 =(3,2,3,2), =(2,4,1,5), =(1,2,0,1), =(2,1,1,6),
=(3,2,2,-1).

2.22 =(5,4,-3,3), =(1,2,4,1), =(3,2,3,3), =(-1,2,0,-1),
=(-4,4,1,-4).

2.23 =(3,2,1,2), =(6,1,5,3), =(3,2,4,0), =(4,4,5,1),
=(5,2,1,3).

2.24 =(6,5,3,-1), =(1,2,2,-3), =(3,4,2,4), =(4,1,0,4),
=(0,0,1,-1).

2.25 =(7,1,1,4), =(5,3,5,6), =(2,3,-3,-1), =(7,3,4,3),
=(2,8,-2,0).

2.26 =(7,2,4,3), =(6,3,4,4), =(1,3,1,1), =(4,3,0,3),
=(3,5,2,1).

2.27 =(2,-3,4,5), =(3,2,3,2), =(3,1,4,3), =(1,2,1,2),
=(2,5,1,3).

2.28 =(3,2,4,1), =(3,4,4,4), =(3,2,2,1), =(3,-1,5,4),
=(6,7,5,-1).

2.29 =(4,3,2,4), =(2,-3,1,2), =(4,4,3,5), =(2,6,-1,-2),
=(2,-3,-1,-2).

2.30 =(5,4,2,4), =(6,3,-2,3), =(2,1,5,1), =(5,5,3,1),
=(5,1,6,1).